11249280000 has 1100 divisors, whose sum is σ = 49521548032. Its totient is φ = 2488320000.

The previous prime is 11249279999. The next prime is 11249280019. The reversal of 11249280000 is 8294211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 362879985 + ... + 362880015.

Almost surely, 2^11249280000 is an apocalyptic number.

11249280000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11249280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24760774016).

11249280000 is an abundant number, since it is smaller than the sum of its proper divisors (38272268032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11249280000 is an frugal number, since it uses more digits than its factorization.

11249280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11249280000 in words is "eleven billion, two hundred forty-nine million, two hundred eighty thousand".